A manufacturer of a certain type of large machine wishes to buy rivets from one

Question

A manufacturer of a certain type of large machine wishes to buy rivets from one of two suppliers. It is important that the breaking strength of each rivet exceed 10,000 PSI. (Below 10,000 PSI results a defective rivet). Two suppliers (A & B) offer this type of rivet. Both have rivets whose breaking strength are normally distributed. The mean breaking strength of supplier A is 14,000 PSI with a standard deviation of 2,000 PSI. The mean breaking strength of supplier B is 13,000 PSI with a standard deviation of 1,000 PSI. Which supplier should the manufacturer go with? Why? (Hint: think about the “amount of defects” that result from each supplier)

Explanation / Answer

Supplier B 13,000 with 1,000 standard deviation. Why? Because the tolearance level is 3 standard deviations below the mean for B, and only 2 for A, which means a rivet is more likely to fail for A than B.would produce the least amount of defects

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